Find the volume of the solid of revolution obtained by revolving the region R bounded by the parabolas 3y = x and y = 3x about the r-axis.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Ans:-  we have to fid the volume of the solid                obtained by rotating the region…

Q: Find the volume of the solid of revolution generated by rotating the region bounded by y = Vx, y=3…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Find the volume under the parabolic cylinder z = x^2 above the region enclosed by the parabola y=…

A:

Q: Find the volume under the parabolic cylinder z=x² above the region enclosed by the parabola y= 6-x²…

A:

Q: Find the volume of the solid created by revolving the bounded region created by the graphs of y = Vx…

A:

Q: Find the volume of the solid generated by revolving the region bound by y = x and about the y-axis.

A:

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x5,…

A: We first sketch the region using a graphing calculator.

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by the graphs of…

A:

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Find the volume of the solid generated by rotating the region bounded by the curves {v=4x-x°, y=3}…

A: Volume of revolution

Q: Find the volume of the solid obtained by rotating the region bounded by y=sin(5x^2),  y=0,…

A:

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: We have to find out volume generated by two given curves

Q: find the volume of the solid of revolution using the shell method of region located in first…

A: In the shell method, we create the cross-sections by slicing parallel to the axis of rotation. This…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x3, y = 0, and x = 2…

A: Follow the steps.

Q: Find the volume of the solid generated by revolving the triangular region bounded by the lines y =…

A: Draw the situation first.When it rotates around x=1 then the radius =1-xy=2x is givenSo,x=y/2

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x 2 – 3x + 2,…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = Inr, y=1, y= 4 and r = 0…

A: shaded portion is the region of interest that is rotated around y-axis to make a solid. y=ln(x)…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by x = 0, y = 2 –…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y = x² + 1, y = x + 3…

A: Given that,  y = x2 + 1y = x + 3 The Axis of rotation = X-axis In the Disk/Washer method strip is…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: Given problem is  :

Q: Find the volume of the Solid generated by revolving the region bounded by y = Vx and the lines y = 1…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about…

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = 1.32, x…

A: The given function is: f(x)=tanh x

Q: Find the volumes of the solids generated by revolving the region between y = 2√x and y=- about a)…

A: Solution

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by 9x", x = 1, and y = 0, about…

A:

Q: Find the volume of the solid obtained by revolving the region bounded by y = x², y = (x – 6)², and…

A:

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves = Vx, y = -x +2…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y = 4/T , y=4, and x=0…

A: The volume made by full revolution in the area between the curves y1=f1(x) and y2=f2(x) where…

Q: Find the volume of the solid generated by revolving the regionbounded by the parabola y = x2 and the…

A: Given parabola y=x2 and the line y=1 about the line y=2limits of integration are x=-1 to x=1radii of…

Q: Evaluate the volume of the solid obtained by rotating the region bounded by the parabolas x= Vy-1…

A: We have to find the volume of the solid obtained by rotating the region bounded by the…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The equation pf the curves are : C1 : y2 = x ⇒ y = x C2 : x = 2y Axis of revolution : y-axis To…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = x3 , x =…

A: Topic = Application of integration

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2a², x = 1, and y = 0,…

A:

Q: Find the volume of the solid generated by revolving the bounded region between the parabola x = y²…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y=x-1, y=D0,…

A:

Q: Find the volume of the solid obtained by rotating about the line y=1, the region bounded by y=cosx,…

A:

Q: Find the volume of the solid obtained by rotating the region bounded, by y x2 - 2x and y = x about…

A: The region bounded by the curves y=x2-2x and y=x about the line y=4 is as shown above.

Q: Find the volume of the solid obtained when the region bounded by the lines y = 1, r = 1, 1 = 2 and…

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x2 + 2 and y…

A:

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…

Q: Find the volume of the solid generated by revolving the regionbounded by y = √x and the lines y = 2…

A: To find the volume of the solid generated by revolving the region bounded by  y=x and the lines y=2…

Q: Determine the volume of the solid of revolution when the region enclosed by the x  – axis, the curve…

A: Given, the region is bounded by the x-axis, the curve y=x12 and the line x=3,  Drawing the graph of…